Quantcast

Got Homework?

Connect with other students for help. It's a free community.

  • across
    MIT Grad Student
    Online now
  • laura*
    Helped 1,000 students
    Online now
  • Hero
    College Math Guru
    Online now

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

scottman

How do I find the complex cube root of 8?

  • one year ago
  • one year ago

  • This Question is Closed
  1. satellite73
    Best Response
    You've already chosen the best response.
    Medals 1

    method one solve \[x^3=8\] \[x^3-8=0\] \[(x-2)(x^2+2x+4)=0\] quadratic formula will give the solutions to \[x^2+2x+4=0\]

    • one year ago
  2. scottman
    Best Response
    You've already chosen the best response.
    Medals 0

    I see and so 2 is one root and the other 2 complex numbers will be the other 2 roots?

    • one year ago
  3. kerstie
    Best Response
    You've already chosen the best response.
    Medals 0

    @Satellite73

    • one year ago
  4. satellite73
    Best Response
    You've already chosen the best response.
    Medals 1

    method two solve \(x^3=1\) and multiply by two since one solution is 1, divide the unit circle in two three equal parts one is at 1, the other two are \(-\frac{1}{2}+\frac{\sqrt{3}}{2}i\) and its conjugate \(-\frac{1}{2}-\frac{\sqrt{3}}{2}i\) multiply these numbers by 2

    • one year ago
  5. satellite73
    Best Response
    You've already chosen the best response.
    Medals 1

    to answer your question, yes, the solution to the quadratic will give you the two complex roots

    • one year ago
  6. satellite73
    Best Response
    You've already chosen the best response.
    Medals 1

    @kerstie hello

    • one year ago
  7. scottman
    Best Response
    You've already chosen the best response.
    Medals 0

    ok thanks a lot, you helped me greatly

    • one year ago
  8. satellite73
    Best Response
    You've already chosen the best response.
    Medals 1

    yw

    • one year ago
    • Attachments:

See more questions >>>

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.